bokomslag Bundles of Topological Vector Spaces and Their Duality
Vetenskap & teknik

Bundles of Topological Vector Spaces and Their Duality

G Gierz

Pocket

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  • 298 sidor
  • 1982
Notational remarks.- Basic definitions.- Full bundles and bundles with completely regular base space.- Bundles with locally paracompact base spaces.- Stone Weierstratheorems for bundles.- An alternative description of spaces of sections: Function modules.- Some algebraic aspects of ?-spaces.- A third description of spaces of sections: C(X)-convex modules.- C(X)-submodules of ?(p).- Quotients of bundles and C(X)-modules.- Morphisms between bundles.- Bundles of operators.- Excursion: Continuous lattices and bundles.- M-structure and bundles.- An adequate M-theory for ?-spaces.- Duality.- The closure of the "unit ball" of a bundle and separation axioms.- Locally trivial bundles: A definition.- Local linear independence.- The space Mod(?(p),C(X)).- Internal duality of C(X)-modules.- The dual space ?(p)' of a space of sections.

  • Författare: G Gierz
  • Format: Pocket/Paperback
  • ISBN: 9783540116103
  • Språk: Engelska
  • Antal sidor: 298
  • Utgivningsdatum: 1982-09-01
  • Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K